Intermediate Algebra (6th Edition)

by
Martin-Gay, Elayn

Answer

$x^{15}$

Work Step by Step

We are given the expression $(\frac{x^{-9}}{x^{-4}})^{-3}$.
First, we can use the power rule to simplify.
$(\frac{x^{-9}}{x^{-4}})^{-3}=\frac{x^{-9\times-3}}{x^{-4\times-3}}=\frac{x^{27}}{x^{12}}$
Next, we can use the quotient rule.
$x^{27-12}=x^{15}$